Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 243, 555, 21, 457 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 555, 21, 457 is 1
GCD(243, 555, 21, 457) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 555, 21, 457 is 1
GCD(243, 555, 21, 457) = 1
Given Input numbers are 243, 555, 21, 457
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Greatest Common Divisior
We found the divisors of 243, 555, 21, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 555, 21, 457 is 1.
Therefore, GCD of numbers 243, 555, 21, 457 is 1
Given Input Data is 243, 555, 21, 457
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 555 is 3 x 5 x 37
Prime Factorization of 21 is 3 x 7
Prime Factorization of 457 is 457
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(243, 555) = 44955
GCD(243, 555) = ( 243 x 555 ) / 44955
GCD(243, 555) = 134865 / 44955
GCD(243, 555) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 21) = 21
GCD(3, 21) = ( 3 x 21 ) / 21
GCD(3, 21) = 63 / 21
GCD(3, 21) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 457) = 1371
GCD(3, 457) = ( 3 x 457 ) / 1371
GCD(3, 457) = 1371 / 1371
GCD(3, 457) = 1
GCD of 243, 555, 21, 457 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 555, 21, 457?
GCD of 243, 555, 21, 457 is 1
2. Where do I get the detailed procedure to find GCD of 243, 555, 21, 457?
You can find a detailed procedure to find GCD of 243, 555, 21, 457 on our page.
3. How to find GCD of 243, 555, 21, 457 on a calculator?
You can find the GCD of 243, 555, 21, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.